Published 2006

Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODE's) deal with functions of one variable, which can often be thought of as time. Topics include: Solution of first-order ODE's by analytical, graphical and numerical methods; Linear ODE's, especially second order with constant coefficients; Undetermined coefficients and variation of parameters; Sinusoidal and exponential signals: oscillations, damping, resonance; Complex numbers and exponentials; Fourier series, periodic solutions; Delta functions, convolution, and Laplace transform methods; Matrix and first order linear systems: eigenvalues and eigenvectors; and Non-linear autonomous systems: critical point analysis and phase plane diagrams.

Producer MIT OpenCourseWare

Audio/Visual sound, color

Language English

Was there a test on this day, that the video was not recorded? If not, can it be uploaded?

Nevertheless, infinite THANKS! for uploading this!

Nevertheless, infinite THANKS! for uploading this!

I found the video lectures extremely useful in understanding about differential equations. These videos helps me improving my DE skills to a much higher level, studied along with rest of the material in MIT OCW. Great thing!!!

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87.3M

Lec 17: Finding Particular Solutions via Fourier Series; Resonant Terms; Hearing Musical Sounds.
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Lec 7: First-order Linear with Constant Coefficients: Behavior of Solutions, Use of Complex Methods.
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21.7M

Lec 17: Finding Particular Solutions via Fourier Series; Resonant Terms; Hearing Musical Sounds.
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Lec 7: First-order Linear with Constant Coefficients: Behavior of Solutions, Use of Complex Methods.
REAL MEDIA
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72.7M

Lec 17: Finding Particular Solutions via Fourier Series; Resonant Terms; Hearing Musical Sounds.
65.4M

Lec 7: First-order Linear with Constant Coefficients: Behavior of Solutions, Use of Complex Methods.
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46.7K

Lec 17: Finding Particular Solutions via Fourier Series; Resonant Terms; Hearing Musical Sounds.
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Lec 7: First-order Linear with Constant Coefficients: Behavior of Solutions, Use of Complex Methods.
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